Finite-Time distributed adaptive coordinated control for multiple electric units of high speed train

Considering the issue of fast recovery to a stable state after encountering disturbances during operation is a significant research focus, the problem of finite-time distributed coordinated control for multiple electric units of a high-speed train is explored in this paper. Firstly, a multi-particle model considering the internal force and nonlinear resistance of the train is established by assuming that a high-speed train is composed of multiple electric units connected by elastic couplers. Based on the principle of multi-agent control and the finite-time Lyapunov stability theorem, a finite-time coordinated control strategy for electric multiple units is then designed. This strategy enables anti-interference and can control all electric units for speed consensus. Furthermore, the interaction force is almost zero in a finite time. Finally, the theoretical results is verified by numerical simulations.